I give mine the choice. My run is roofed and I tarp the windy sides to keep snow out.
We get spells that are negative 16 at night and highs in the single digits. They can go out if they choose or not if that is their choice.
A bigger than bare minimum coop helps a ton in winter as well as making it a walk in so you're not in the wet cold weather while tending them.
For 6 in your climate a 6x8 walk in coop would give both them and you adequate space in my opinion.
